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Finding the Third Proportional to 3,159,128 and 4,620,208

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Solution

The third proportional to 3,159,128 and 4,620,208 is: 6,757,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,128 : 4,620,208 = 4,620,208 : x
  2. Step 2: Convert to fraction form
    3,159,128/4,620,208 = 4,620,208/x
  3. Step 3: Cross multiply
    3,159,128x = 4,620,208 × 4,620,208
  4. Step 4: Simplify right side
    3,159,128x = 21,346,321,963,264
  5. Step 5: Solve for x
    x = 21,346,321,963,264/3,159,128
  6. Step 6: Final answer
    x = 6,757,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.